You ask for a list of reinforcing sources. Banking statements, Tax ID, photographs, etc. If you have a criminal record, one is going to tie you to it.
Criminal records may not be “complete” but that’s a risk we already run.
In the real world, we exchange this information, and rely on it all the time. Tourist visas.
At some level we accept the risk. I’m not suggesting anything new by saying that you do the same thing with Migrant workers.